Answer:
[tex]{(x + 4)}^{2} + {(y - 2)}^{2} = 9[/tex]
Step-by-step explanation:
Considering the the circle,
The centre (a,b) = (-4, 2) and the length of the radius r = 3 ( from the centre to the circumference is 3 boxes).
Therefore, from the general equation:
[tex] {(x} - a)^{2} + {(y - b)}^{2} = {r}^{2} [/tex]
[tex] {(x - ( - 4))}^{2} + {(y - 2)}^{2} = {3}^{2} [/tex]
[tex] {(x + 4)}^{2} + {(y - 2)}^{2} = 9[/tex]